Symbol

Description

${\Lambda }_H$

Birth and immigrant rate of humans

${\Lambda }_M$

Birth rate of mosquitoes

$\rho$

Rate of loss of immunity

${\beta }_H$

Transmission rate of infection from infected mosquitoes to susceptible human

${\alpha }_2$

Loss of immunity of protected class

q

Fraction of infective immigrants

${\alpha }_1$

Progression rate of susceptible human to protected class

$k_1$

Treatment rate of human from infected state to treated class

$k_2$

Transmission rate of human from infected state to infectious none treated class

g

Progression rate of human from exposed to infected compartments

$\gamma$

Recovery rate of human from treated class

${\delta }_H$

Natural death rate of human from exposed to infected

$\mu$

Progression rate of human from recovery class to protected class

M

Progression rate of mosquitoes from larva to susceptible

${\beta }_M$

Transmission rate of infection from infected human to susceptible mosquitoes

${\delta }_M$

Natural death rate of mosquitoes

$\varphi$

Progression rate of exposed mosquitoes to infected mosquitoes

${\omega }_H$

Disease-induced death rate of human